White House deputy press secretary Raj Shah said Thursday that the Trump administration had no announcements regarding McMaster's possible departure from the White House, but stopped short of an outright denial of the report.

"We frequently face rumor and innuendo about senior administration officials," he said in a statement. "There are no personnel announcements at this time."

But McMaster, an Army lieutenant general, has often found himself at odds with Trump, and media reports have indicated clashes between the men.

Trump rebuked McMaster last month after the national security adviser said the evidence that Russia meddled in the 2016 presidential election was "incontrovertible."

"General McMaster forgot to say that the results of the 2016 election were not impacted or changed by the Russians and that the only Collusion was between Russia and Crooked H, the DNC and the Dems," Trump tweeted.